How to represent /3 (root 3) on number line?

Question

Answer

Answer

Sbse pahle aap line bnaiye aur usme 1 inches ka gap dijiye aur 3 no tk lejaiy phir aap 2 no ke baad  upper 1 inch ka line draw kijiye phir ussi line ko 0 se mila dijiye aur jo aap 3 inches ka gap di thi usme 0,1,2,3 tk phir jo aap line draw ki thi 0 to 3 milai thi usi ke size ka protector ka size lijiye yaad rakhiyega 0to 2 tk ka line

Answer

Representing √3 on a Number Line

To represent √3 (square root of 3) on a number line, we need to follow a step-by-step process. Let's go through it in detail:

Step 1: Understand the Basics
Before we begin, it is important to understand a few basics about number lines and square roots:

- A number line is a straight line that represents real numbers. It extends infinitely in both directions.
- The square root (√) of a number is a value that, when multiplied by itself, gives the original number. In this case, we are dealing with the square root of 3 (√3).

Step 2: Determine the Range
To represent √3 on a number line, we need to determine the range within which it lies. We know that the square root of any positive number is always positive. Therefore, we are looking for the positive square root of 3.

Step 3: Divide the Number Line
Once we have determined the range, we divide the number line accordingly. We can choose a suitable scale depending on the available space and precision required. For simplicity, let's assume a scale of 1 unit per division.

Step 4: Mark the Integers
Now, we mark the integers on the number line. Since the square root of 3 is between 1 and 2, we mark these integers on the number line.

Step 5: Estimate the Position
To estimate the position of √3 on the number line, we need to consider that the square root of 3 is approximately 1.732. This value lies between 1 and 2. Therefore, we can estimate the position of √3 to be closer to 1.732.

Step 6: Mark the Approximate Position
Based on the estimation, we mark the approximate position of √3 on the number line. Since it is closer to 2, we mark a point slightly to the right of 1.732.

Step 7: Label the Point
Finally, we label the point on the number line as √3 to indicate that it represents the square root of 3.

Visually appealing representation on a Number Line:
- The number line is divided into equal divisions with a scale of 1 unit per division.
- The integers 1 and 2 are marked on the number line.
- The position of √3 is estimated to be closer to 1.732.
- A point is marked on the number line slightly to the right of 1.732.
- The point is labeled as √3.

By following these steps, we can effectively represent √3 on a number line. It provides a visual understanding of the position of the square root of 3 within the real number system.

Similar Class 9 Doubts

how to represent 1+ square root 9.5 on the real number line

how to represent root 2 on number line

represent root 3 on number line

Through square root spiral method represent number from root 2 to root 10 on the number Line?

How can we represent under root 3 on a number line?

Top Courses for Class 9View all

Science Class 9

Social Studies (SST) Class 9

Mathematics (Maths) Class 9

English Grammar Advanced

English Class 9

Top Courses for Class 9

Top Courses for Class 9

Suggested Free Tests

Related Content

Class 9 Study Material

Class 9 Subjects

Competitive Examinations for Class 9

NCERT Books

NCERT Solutions

Reference Books for Class 9

Other Popular Exams

Company